9 = Fluctuation of Quantum Sine-wave

1/7/2024
Part One of currently five parts:

This is my latest cosmic summary as the... 9 = Fluctuation of Quantum Sine-wave....  plus briefly touching on Peter Woit >< R B Fuller's Euclidean approach to the Operating Systems of Universe aka GUTOEverything. Peter W has been in process of developing more  R Penroses spinor and twistor ideas

Peter Woits blog page entry..." There’s been some progress on better understanding the Euclidean twistor unification ideas I’ve been working on the past few years. In particular the relation between the twistor geometry and the “spacetime is right-handed” point of view on spinors is now much clearer to me.

I’ve also made progress on understand how to think of Wick rotation in terms of hyperfunctions, something I’d given up on a while back, but now see how it can work. In the coming weeks/months I hope to get some of this written up, both as some blog posts and as a new paper. "...

Not Even Wrong   https://www.math.columbia.edu/~woit/wordpress/

Because of its geometrical simplicity sake, I fell in love with Fullers 4-fold Vector Equilirium { VE }, jitterbug contraption many years ago. 

8 surface triangles, and 6 surface squares, that allows the 4-fold VE { Vector Equilibrium } to twist/torque left or right on four diferrrent axi. Fuller speaks of his VE jitterbug as the Operating System of Universe and the closet we will ever come to knowing God because it is the perfection of balance of between its 24 surface chords { ><><>< } as systemic enclosure and 24 nucleus extended radii { ---> ---> ---> } as radiant, systemic expansion. etc

The 24 radii only present themselves when the VE is created from the infolding of  four circular or hexagon planes of paper etc. See link to graphic B

http://www.rwgrayprojects.com/synergetics/s04/figs/f5511.html

Part Two

And the first phase it forms is that of a semi-partial 5-fold icosahedron, that, then can develop left and right-skew sets of subdivisions of its surface triangles.

VE = four options of left-right skew contraction, twist/torque ergo spin { spinor? Twistor? } within occupied space-time

1} 4 axi/diameters at 60 degrees to each other {  | \ / --- } ergo a Cosmic Euclidean fou-rness of every field of occupied space-time---,

2} 6 square surface openings --24 edges--- 12 cornerss/vertexial points of interference,

3} 8 triangle surface openings ---24 edges--- 12 cornesr/vertexial points of interference,

4} 24 radii and 24 chords  --ergo Vector Equilibrium---,

5} transition > 5-fold semi-icosahedron --12 corners/vertexial points of interference--

Think of the following Isotropic Vector Matrix if we used Fullers Euclidean approach of equanimity/balance of all fields of occupied space-time

Then I came along and I say, that, each of the Euclidean lines, --when transformed in Fullers 87 minus the redundant 14 = 73 primary great circles--, I say each is a 3D volumetric torus, and that torus is mapped ----most simple 2D lattice version--- via sequential set of whole rational numbers as a a primary field of occupied space-time.

Part Three

Within this context, the fields are in the same plane as if were looking from a birds-eye-viewpoint of the torus outline --or silhouette-like--  four orbits around a central abstract point, that is outside of the inner negative surface.... (   ((  ()   ))   ) ...... If the geodesics between specific  wave-linear sequential set of numbers{ events } are shown  we would see the geodesic curves of the torus. Once we have that torus, we have the following;

1} two outer peak of positive curvature, here--->(       )<----

2} two inner peak of negative curvature ---->)(<----

3} two distinct peaks of neutral curvature also known a Gaussian flat curvature See graphic in this link, scroll half way on the page.

  https://math.stackexchange.com/questions/495232/are-there-any-surfaces-that-contain-both-positive-and-negative-gaussian-curvatur

AI..." A torus, or donut shape, has a "flat" Gaussian curvature overall, meaning its total Gaussian curvature is zero, because while the outer part of the torus has positive curvature, the inner part has negative curvature, balancing each other out;therefore, at any given point on the torus, the curvature is not flat, but the total curvature across the whole surface is zero. "..

..1...........5p.7p..........11p...13p...........17p.........loops around to meet itself ergo defines a 2D plane

-

0................6....................12.......................18...loops around to meet itself ergo 2D plane

........3p...............9.......................15.................loops around to meet itself ergo defines a 2D plane

-

.....2p...4............8..10...............14...16...............loops around to meet itself ergo defines a 2D plane

Part FourTo be clear, the actual minimal set of numbers ---as frequency of nodal events--- may exist into the trillions. I dunno of course. However, I believe any such actuality could be mathematical reduced to be represented as the above set of to the minimal 19 - 18 nodal events. I say 18 because, once this minimal set loops to meet itself the 18 and 0 occupied the same position.

This set 18 nodal events had 153 mathematical lines-of-relationship.

36 events has 630 lines-of-relationship

54 events  has 1431 lines-of-relationship

72 events has 2556 and that is the 4th doubling of 18.

Just testing a cosmic four-ness concept to see what number occurs. I choose 18 as minimal set in regards to 13p as the minimal reduced frequency set for Gravities quantum particles the graviton, that I original equate to a truncated di-pyramd ergo, 3 triangle openings, ---9 nodal events total of outer and inner surface {1..2p..4, ..5p...7p...8, ...10...11p...13p} -- that expand and contract in respect to each other, to move forward the internal set of four nuclear nodal events { 3p..6..9..12 } totals.

Number 9 acts as semi- free, oscillatory agent-- of the four, primary{ graavitonic nuclei } to the torus, nodal events in sine-wave of reality, as the ' monkey wrench ' called ' fluctuation ' of the quantum wave { sine-wave }, binging, banging, oscillating off the other nodal events inside-the-tube of quantum pulse.

So back in 70's when I first heard the scenarios of what caused Universe to exist --say out of stable quantum field--- was a fluctuation a sine-wave etc.

My above shows imbalance in the minimal gravitonic field to be three nuclear balanced with the three triangular opening sets, and that leaves number 9 as a nuclear nodal event, that is ousted because the three triangle nucleus has nodal event already there { 3p....6....and 12 }.

9 is the free agent, and is reminiscent of prime #7p in other aspects of Universe, but here above 9 is cosmic free agent not 7p

Next Part Five

Part 5

0 is not included, because, it is cojoined with 18 { 18/0 } with the larger, tho minimal  --reduced from an actual frequency it may be-- space-time torus.

So again. 1..2p..4 with nucleus 3p is at one end of the truncated di-pyramid, as nucleated triangular set --total 3 triangle define the truncated on two ends, di-pyramid to define a tube === or as |  |  | if look from the side we see edge of three triangles---

5p...7p...8 with nucleus of 6 at the mid-girth triangle set of the same truncated di-pyramid,

10...11p...13p and nucleus 12 at the other end of the truncated di-pyramid set. 

Sorry that I dont have any graphics to make easy for the reader to see this geometric approach to the graviton existence with the 2D lattice Ive presented.

Hope others can follow, that, as the minimal graviton of Universe, from a purely conceptual scenario and it may be the actual set gravitonic existence, within a space-time torus of much larger ---trillions? instead of just 18 nodal events-- frequency set as the minimal space-time torus

And finally I must mentioned  the first person I knew of to take a line --R Penrose and Fuller may have taken a point--- an expanded it as 3D volume, as Jim Lehman did with his Pandora mathematics using the Vector Equilibrium.  That is where I formulated the original idea of graviton as a Euclidean/like, truncated, di-pyramid.

Then later when I developed the  numerically sequential, 2D field lattice, I developed the ideas even further with the above-below scenarios of space-time tori and geodesic lines of curvature between 1 >(> 2p......4 >)> 5p....7p >(> 8....10 >)11p....13p >(14.....16 >)17p....etc that, we do not observed, as they are ultra-micro events.

And internal too those outer and inner set of surface --ie between the outer and inner---  we observe a collective set of nodal events as the sine-waves { ^v^v^V } of reality or as Euclidean /\/\/\/\/\/ on two sets of internal pathways, 

0.......6........12.......18.......etc

....3p......9.........15.....21...etc

----That near-perfect roundness deepens the mystery behind how the universe came to be filled with matter as opposed to its counterpart, antimatter. Any asymmetry in the electron’s shape, namely the distribution of the particle’s electric charge, would point to a related asymmetry in the laws of nature, one that could explain this feature of the cosmos. "....

Next Part 6

Part Six:

First, clarity as to what a nucleated triangle --four vertexes ergo a flat tetrahedron--  looks like. \Y/ is text character expression

Lets review some of the specifics if any have followed me in the first five parts.

1} 1 -13p = 78 lines-of-relationship --and I suggest equates to the gravitin-darkEon as minimal plancks hbar length value----  and that said I would think I need to take the geometric 78 and power it 36 times { 78^36 , in order} to arrive at number that associates with some classical physics value, --ex electron 0.511 is AI.."One electron volt (eV) is equal to approximately 1.602 x 10^-19 joules '.. } -- in some way or another. 

A task that I not sure I will get too any time soon. or maybe a minimal neutrino value, that, I believe has the least mass of all Fermions.

2} The graviton-darkEon only exists withen  context of the minimal space-time torus as the  0-18 ergo four triangle sets  This means, there is

1a}  1..2p...4 and nucleus 3p...... | .... as seen from side-wise edge view....

2a} 5p..7p....8 and nucleus 6..... | ...-...  ""   ""

...........................9 is free agent monkey wrench in between.... |  ...... wherein the dash is #9

3a} 10...11p...13p and nucleus 12....... | .....

4a] 15....16.....17p and nucleus 0/18  --yes the 0/18 event is outside of 15...16..17p, however, has a relationship and it is the physical reality { Observed Time } higher line of the sine-wave pattern.

18/0...|.....|..-...| .....|........18/0 and when the four lines loop, we have the cojoined location/position of 18/0 top line of phyiscal reality meeting of first nodal events.

Since each triangle is nucleated, that equals four tetrahedral sets of 6 relationships each i.e. the alledged { by me } as the minimal space-time torus, that, we see is composed of four tetrahedra, that, are all connected i.e. 1 - 17p plus 0/18 = 18 events ergo,

18^2 =  324, minus 18 = 306, and divide by 2, = 153 lines-of-relationship.

<I><I><I><I> = four tetrahedra of the minimal, space-time torus { 0 - 18 } either as:

Part Seven next

..When I state #9, I mean the 9th nodal event, that,  occurs inside the 3D vectorial tube, after the occurrence of 3p...6.... and before the ...12th nodal event.

.........1............5p....7p...........11p.....13p..................17p.......Gravity

18/0....................6.......................12............................18/0 Observed Time - physical reality

................3p...................9...................15.........................Observed Time - physical reality

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............2p.....4.............8.....10...............14.......16................Dark energy

So 78 lines-of-relationship for 13p nodal events

.." Nine Schematic Aspects of the Tetrahedron

   

..1013.41  Every tetrahedron, every prime structural system in Universe, has nine separate and unique states of existence: four positive, four negative, plus one schematic unfolded nothingness, unfolded to an infinite, planar, neither-one-nor-the-other, equilibrious state. "

I would take issue with this conclusion by Fuller

Synergetically speaking,  I believe 9 is more related to the following.

  .." 310.13   There is a phenomenon that we might describe as the  eternal disquietude of the Odd Ball  promulgating eternal reorderings, realignments, and inexorable transformings to accommodate the eternal regeneration integrity of intellectually differentiable Universe. "

Perhaps as the Hisenburg Uncertainty Principle sometimes known as the random fluctuation of quantum wave or field, that was alledged to create Universe.

Obviously, --at least to me--  that, at best, it is just the semi-free agent, #9 nodal event of Observed Time  Reality, acting out its eternal disquietitude  for next phase of eternally  transforming/regenerative Universe Reality,

Part eight: A little review.

The 2D lattice is a static presentation, and came along to me by my exploration of prime numbers.  It was only later on I developed the ideas that the ideas of lines-of-realtionship between the numerical identifiers for the nodal events.

Some of those lines-of-relationship I percieve as geodesic curvatre ( ) ( ) ( ) and that in turn defines the outer and inner surface of the space-time torus.

1 ( 2p...4 ) 5p...7p (  8...10 ) 11p etc, so an so on.

The internal two abstract lines define a sine-wave pattern, that, I believe is representative of our quantised and quantified physical reality { Observed Time }. However, take note that any line-of-relationship { as a trajectory } no matter how short { appears straight } is just a short geodesic.

The minimal, quanta of our finite, occupied space Universe, I believe, is the graviton-darkEon, that, is composed of 13 nodal events, however, that, graviton-darkEon only and always exists, within the larger contexts of the 18/0 nodal event, space-time torus. 

This may be significant as to our ability at these ultra-micro scales of existence, to ever quantize the  quantum graviton-darkEon { quanta }.